Which one among the following is the correct option for right relationship between $C_{P} a n d C_{V}$ for one mole of ideal gas?

$C_{P} + C_{V} = R$

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C_{P} - C_{V} = R

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C_{P} = {R C}_{V}

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$C_{V} = R C_{P}$

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Solution

The correct option is B $C_{P} - C_{V} = R$
$C_{P}$ - specific heat capacity of substance at constant pressure

$C_{V}$ - specific heat capacity of substance at constant volume

Relations :
For ideal gas,
$C_{P} - C_{V} = R$
where, R - gas constant

$\frac{C_{P}}{C_{V}} = γ$ (specific heat capacity ratio )

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